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jonny [76]
3 years ago
13

Assume that the lines that appear to be tangent are tangent p is the center if each circle find x. ​

Mathematics
1 answer:
Elodia [21]3 years ago
4 0

Answer:

Step-by-step explanation:

Problem One

All quadrilaterals have angles that add up to 360 degrees.

Tangents touch the circle in such a way that the radius and the tangent form a  right angle at the point of contact.

Solution

x + 115 + 90 + 90 = 360

x + 295 = 360

x + 295 - 295 = 360 - 295

x = 65

Problem Two

From the previous problem, you know that where the 6 and 8 meet is a right angle.

Therefore you can use a^2 + b^2 = c^2

a = 6

b =8

c = ?

6^2 + 8^2 = c^2

c^2 = 36 + 64

c^2 = 100

sqrt(c^2) = sqrt(100)

c = 10

x = 10

Problem 3

No guarantees on this one. I'm not sure how the diagram is set up. I take the 4 to be the length from the bottom of the line marked 10 to the intersect point of the tangent with the circle.

That means that the measurement left is 10 - 4 = 6

x and 6 are both tangents from the upper point of the line marked 10.

Therefore x = 6

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When visiting his parents, Tyler drives at an average speed of 42 km/h through urban areas and at an average speed of 105 km/h o
MaRussiya [10]

Answer:

  168 km

Step-by-step explanation:

Let x represent the distance Tyler drives at the slower speed, and let y represent the distance at the higher speed. Using time = distance/speed, we can write equations for the total travel time:

  x/42 +y/105 = 2.5

  x/28 +y/60 = 4.0 . . . . . 1.5 hours more than the usual 2.5 hours

Multiplying the first equation by 210, we have ...

  5x +2y = 525

Multiplying the second equation by 420, we get ...

  15x +7y = 1680

Subtracting 3 times the first of these equations from the second, we have ...

  (15x +7y) -3(5x +2y) = (1680) -3(525)

  y = 105

Putting this into the very first equation, we get ...

  x/42 + 105/105 = 2.5

  x/42 = 1.5 . . . . . . subtract 1

  x = 63 . . . . . . . . .multiply by 42.

The total distance to Tyler's parents' house is ...

  63 km + 105 km = 168 km

4 0
3 years ago
COULD SOMONE PLZ PLZ HELP ME WITH THIS PROBLEM!!!
Jlenok [28]
1.b 2.a lines are parallel hope this helps =3

6 0
3 years ago
Help me please!! I don’t know
VLD [36.1K]

Answer:

You have the right answer what do you need help with?

Step-by-step explanation:


3 0
3 years ago
Read 2 more answers
39 POINTS!! I NEED HELP ASAP!!!!!!! 2 QUESTIONS!!!!!
dangina [55]

Answer: 1) A = 28ft^{2}

2) 55 points

Step-by-step explanation:

1) A= 8w + 18, w=1.25

A = 8(1.25) + 18

A = 10 + 18

A = 28ft^2

2) 25 points to start with, additional 5 points per magazine they sell, m = number of magazines they sell

total points = 25 + 5m

How many if they sell 6?

total = 25 + 5(6)

= 25 + 30

total = 55

4 0
3 years ago
Read 2 more answers
34, 57, 58, 56, 21. Which measure of center best represents the data? Explain why you chose that measure of center.
sveticcg [70]

Answer:

Median

Step-by-step explanation:

The measure of center that best represents the data is median because the data is ordinal, that is it is in ranks. The first is 21, the second is 34, third is 56, fourth is 57 and fifth is 58.

6 0
3 years ago
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